The current in a conductor is expressed as I = 3 t 2 + 4 t 3 , where I is in Ampere and t is in second. The…

The current in a conductor is expressed as I=3t2+4t3, where I is in Ampere and t is in second. The amount of electric charge that flows through a section of the conductor during t=1 s to t=2 s is ____________ C.

Solution

For variable current, integrate to get the total charge flown in a given interval.q=12idt=123t2+4t3dt

q=t3+t412

q=22 C

Asked in: JEE Main 2024 (01 Feb Shift 1)

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